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Finding the Third Proportional to 3,970 and 6,399

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Solution

The third proportional to 3,970 and 6,399 is: 10,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 6,399 = 6,399 : x
  2. Step 2: Convert to fraction form
    3,970/6,399 = 6,399/x
  3. Step 3: Cross multiply
    3,970x = 6,399 × 6,399
  4. Step 4: Simplify right side
    3,970x = 40,947,201
  5. Step 5: Solve for x
    x = 40,947,201/3,970
  6. Step 6: Final answer
    x = 10,314.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.